87172 ÷ 6 = 14528 R4
Alright, let's work through the division of 87172 by 6 step by step.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 6

Step 2:
6 goes into 27 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 24 from 27 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 3:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 145
Subtract 30 from 31 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

Step 4:
6 goes into 17 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 1452
Subtract 12 from 17 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 5:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 14528
Subtract 48 from 52 to get 4.

The final result is 14528 with a remainder of 4.